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Finding the Third Proportional to 564,832 and 829,952

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Solution

The third proportional to 564,832 and 829,952 is: 1,219,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,832 : 829,952 = 829,952 : x
  2. Step 2: Convert to fraction form
    564,832/829,952 = 829,952/x
  3. Step 3: Cross multiply
    564,832x = 829,952 × 829,952
  4. Step 4: Simplify right side
    564,832x = 688,820,322,304
  5. Step 5: Solve for x
    x = 688,820,322,304/564,832
  6. Step 6: Final answer
    x = 1,219,513.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.